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We study a quantum network that distributes entangled quantum states to multiple sets of users that are connected to the network. Each user is connected to a switch of the network via a link. All the links of the network generate bipartite…

Quantum Physics · Physics 2021-06-03 Thirupathaiah Vasantam , Don Towsley

We consider multi-class single-server queueing networks that have a product form stationary distribution. A new limit result proves a sequence of such networks converges weakly to a stochastic flow level model. The stochastic flow level…

Probability · Mathematics 2009-12-15 N. S. Walton

We study dynamic networks under an undirected consensus communication protocol and with one state-dependent weighted edge. We assume that the aforementioned dynamic edge can take values over the whole real numbers, and that its behaviour…

Dynamical Systems · Mathematics 2020-07-15 Hildeberto Jardón-Kojakhmetov , Christian Kuehn

Stability with respect to a given scheduling policy has become an important issue for wireless communication systems, but it is hard to prove in particular scenarios. In this paper two simple conditions for stability in broadcast channels…

Networking and Internet Architecture · Computer Science 2009-04-16 Chan Zhou , Gerhard Wunder

We present a unified analytical framework within which power control, rate allocation, routing, and congestion control for wireless networks can be optimized in a coherent and integrated manner. We consider a multi-commodity flow model with…

Networking and Internet Architecture · Computer Science 2007-09-18 Yufang Xi , Edmund M. Yeh

It is by now well-known that wireless networks with file arrivals and departures are stable if one uses alpha-fair congestion control and back-pressure based scheduling and routing. In this paper, we examine whether ?alpha-fair congestion…

Networking and Internet Architecture · Computer Science 2012-09-26 Javad Ghaderi , Tianxiong Ji , R. Srikant

Weighted round robin (WRR) is an effective, yet particularly easy-to-implement packet scheduler. A slight modification in the implementation of WRR, interleaved weighted round robin, has been proposed as an enhancement of the initial…

Performance · Computer Science 2022-12-14 Vlad-Cristian Constantin , Paul Nikolaus , Jens Schmitt

We consider the problem of throughput-optimal broadcast- ing in time-varying wireless networks, whose underlying topology is restricted to Directed Acyclic Graphs (DAG). Previous broadcast algorithms route packets along spanning trees. In…

Information Theory · Computer Science 2016-04-05 Abhishek Sinha , Leandros Tassiulas , Eytan Modiano

The paper investigates the throughput behavior of single-commodity dynamical flow networks governed by monotone distributed routing policies. The networks are modeled as systems of ODEs based on mass conversation laws on directed graphs…

Optimization and Control · Mathematics 2014-05-08 Giacomo Como , Enrico Lovisari , Ketan Savla

We provide a queueing-theoretic framework for job replication schemes based on the principle "\emph{replicate a job as soon as the system detects it as a \emph{straggler}}". This is called job \emph{speculation}. Recent works have analyzed…

Performance · Computer Science 2025-02-23 Jonatha Anselmi , Neil Walton

Classical queuing network control strategies typically rely on accurate knowledge of model data, i.e., arrival and service rates. However, such data are not always available and may be time-variant. To address this challenge, we consider a…

Optimization and Control · Mathematics 2023-06-09 Qian Xie , Li Jin

Motivated by medium access control for resource-challenged wireless Internet of Things (IoT), we consider the problem of queue scheduling with reduced queue state information. In particular, we consider a time-slotted scheduling model with…

Networking and Internet Architecture · Computer Science 2020-05-08 Avinash Mohan , Aditya Gopalan , Anurag Kumar

We study probabilistic protocols for concurrent threshold-based load balancing in networks. There are n resources or machines represented by nodes in an undirected graph and m >> n users that try to find an acceptable resource by moving…

Data Structures and Algorithms · Computer Science 2013-06-07 Martin Hoefer , Thomas Sauerwald

We study and compare the Shannon capacity region and the stable throughput region for a random access system in which source nodes multicast their messages to multiple destination nodes. Under an erasure channel model which accounts for…

Information Theory · Computer Science 2007-09-20 Brooke Shrader , Anthony Ephremides

Motivated by few delay-optimal scheduling results, in comparison to results on throughput optimality, we investigate a canonical input-queued switch scheduling problem in which the objective is to minimize the discounted delay cost over an…

Optimization and Control · Mathematics 2023-02-14 Yingdong Lu , Siva Theja Maguluri , Mark S. Squillante , Tonghoon Suk , Xiaofan Wu

We investigate an optimal scheduling problem in a discrete-time system of L parallel queues that are served by K identical, randomly connected servers. Each queue may be connected to a subset of the K servers during any given time slot.…

Information Theory · Computer Science 2016-10-05 Hussein Al-Zubaidy , Ioannis Lambadaris , Yannis Viniotis

We analyze opportunistic schemes for transmission scheduling from one of $n$ homogeneous queues whose channel states fluctuate independently. Considered schemes consist of the LCQ policy, which transmits from a longest connected queue in…

Performance · Computer Science 2008-10-02 Murat Alanyali , Maxim Dashouk

There has been considerable recent work developing a new stochastic network utility maximization framework using Backpressure algorithms, also known as MaxWeight. A key open problem has been the development of utility-optimal algorithms…

Optimization and Control · Mathematics 2011-04-05 Longbo Huang , Scott Moeller , Michael J. Neely , Bhaskar Krishnamachari

Motivated by packet routing in computer networks, online queuing systems are composed of queues receiving packets at different rates. Repeatedly, they send packets to servers, each of them treating only at most one packet at a time. In the…

Machine Learning · Statistics 2021-11-05 Flore Sentenac , Etienne Boursier , Vianney Perchet

We present an algorithm that efficiently computes nearly-optimal solutions to a class of combinatorial reconfiguration problems on weighted, undirected graphs. Inspired by societally relevant applications in networked infrastructure…

Optimization and Control · Mathematics 2025-10-29 Samuel Talkington , Dmitrii M. Ostrovskii , Daniel K. Molzahn
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